Re :
Those two entries on the NSW BDM online index for 1860.
The one with a 'V', the one pointing to an Early Church Record, does note the deceased was aged 37.
Many of the Camperdown Cemetery burials have been transcribed and are indexed
as mentioned in the OP. Here is the link
http://gutenberg.net.au/camperdownNSW/_home.html It was the main Church of England burial ground in Sydney for much of the mid 1800s. It was referred to as St Stephens cemetery for it was within the grounds of St Stephens. Burials were not restricted just to Church of England members.
Here is a link that has background info about the cemetery.
http://cemeterycuriosities.blogspot.com/2008/04/camperdown-cemetery.html From the Camperdown Cemetery burials
8747, BN08774 is for a Sarah WILSON, aged 37, 25 July 1860.
usually you can drill down on a NSW BDM civil registration index entry to reliably determine the 'date of the event'. But when I checked that option, the d.c. for Sarah WILSON #1375/1860 does not reflect just 25 July 1860, but every date in 1860, including 31 December 1860. The date will of course be on the actual document.
It is of course possible that cert 1375/1860 has the names of her spouse, children, etc... but it does not seem to have any info about her parents (so likely nothing about her own birth place or nee name) ... It is up to you of course, if you are considering ordering a transcript, ... if so, then I would seek out the civil registration for it will have the name of the cemetery, and it should also have cause of death, date buried, and name of spouse and children and the name/address of the informant.
JM